Some Relations Between Kekule Structure and Morgan-Voyce Polynomials
نویسندگان
1 Ataturk University
2 bayburt university
doi
10.22052/ijmc.2017.49481.1177چکیده
In this paper, Kekule structures of benzenoid chains are considered. It has been shown that the coefficients of a B_n (x) Morgan-Voyce polynomial equal to the number of k-matchings (m(G,k)) of a path graph which has N=2n+1 points. Furtermore, two relations are obtained between regularly zig-zag nonbranched catacondensed benzenid chains and Morgan-Voyce polynomials and between regularly zig-zag nonbranched catacondensed benzenid chains and their corresponding caterpillar trees.